After 5 months Dylan’s account will have more money than Kelly
Answer:
1440
Step-by-step explanation:
We're given the word ‘STRANCE’ STRANCE happens to be a 7 letterered word. It contains just 2 vowels A and E, with 5 consonants S, T, R, N and C. We're told to arrange in a way that the vowels occupy only the odd places, so in the word, there exist 4 odd places. The 1st, 3rd, 5th and 7th spot.
The two vowels can be arranged in 4P2 ways. This means that the remaining 5 consonants can be arranged among themselves in a 5P5 ways. Using the permutation formula, we know that
P (n, r) = n!/(n – r)!, so
P (4, 2) * P (5, 5) =
4!/(4 – 2)! * 5!/(5 – 5)! =
4!/2! * 5! =
(4 * 3 * 2!)/2! * 5! =
(12 * 2!)/2! * 120 =
(12 * 2)/2 * 120 =
12 * 120 = 1440
Answer:
b. 28x + 8y +2
Step-by-step explanation:
you need to distribute the -2 to all the numbers inside parentheses and then combine like terms.
-2*3x= -6x
-2*12y= -24y
-2*-5= 10 (remember neg times neg = pos)
-2*17= 34x
-2*-16y=32y
-2*4= -8
Now combine like terms
34x-6x= 28x
32y-24y=8y
10-8=2
Write the expression: 28x + 8y +2
Answer:
(x+1)(x-6)
Step-by-step explanation:
Answer:
3x + 15 = 8x
Step-by-step explanation:
"The sum" means addition. Three times a number is that place where we insert a variable for the number that we don't know. In this question the word "becomes" is what indicates the equals. Eight times the number doesn't give any reason for us to think its a different unknown number, so we use the same variable as at the beginning of the question.